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Simplifying 4(n + -2) = 5(n + 4) Reorder the terms: 4(-2 + n) = 5(n + 4) (-2 * 4 + n * 4) = 5(n + 4) (-8 + 4n) = 5(n + 4) Reorder the terms: -8 + 4n = 5(4 + n) -8 + 4n = (4 * 5 + n * 5) -8 + 4n = (20 + 5n) Solving -8 + 4n = 20 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -8 + 4n + -5n = 20 + 5n + -5n Combine like terms: 4n + -5n = -1n -8 + -1n = 20 + 5n + -5n Combine like terms: 5n + -5n = 0 -8 + -1n = 20 + 0 -8 + -1n = 20 Add '8' to each side of the equation. -8 + 8 + -1n = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -1n = 20 + 8 -1n = 20 + 8 Combine like terms: 20 + 8 = 28 -1n = 28 Divide each side by '-1'. n = -28 Simplifying n = -28
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